二维耦合的伊辛模型
The Ising model coupled to 2d orders
摘要：
在这篇文章中，我们在路径积分中将物质与因果集理论相结合。我们探讨的情况下，伊辛模型耦合到二维离散爱因斯坦希尔伯特行动，限制到二维订单。我们探测的Wick旋转参数\b{eta}和伊辛耦合j方面的相图，并发现，该物质和因果集一起产生一个有趣的相结构。耦合产生五个不同的阶段。因果集具有随机或晶体特征，如[1]所述，伊辛模型可以在随机顺序上相关或不相关，在晶体顺序上相关、不相关或反相关。我们发现，至少有一个新的相变出现，其中伊辛自旋推动的因果集到结晶相。
英文摘要：
In this article we make first steps in coupling matter to causal set theory in the path integral. We explore the case of the Ising model coupled to the 2d discrete Einstein Hilbert action, restricted to the 2d orders. We probe the phase diagram in terms of the Wick rotation parameter \b{eta} and the Ising coupling j and find that the matter and the causal sets together give rise to an interesting phase structure. The couplings give rise to five different phases. The causal sets take on random or crystalline characteristics as described in [1] and the Ising model can be correlated or uncorrelated on the random ordes and correlated, uncorrelated or anti-correlated on the crystalline orders. We find that at least one new phase transition arises, in which the Ising spins push the causal set into the crystalline phase.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
